Answer:
4 1/3 inches Smaller piece
16 2/3 inches Larger piece
Step-by-step explanation:
x + (2x + 8) = 21
3x + 8 = 21
3x = 13
x = 13/3
x = 4 1/3 inches Smaller piece
2x + 8 = 8 2/3 + 8
2x + 8 = 16 2/3 inches Larger piece
Pat bought 6 shirts that were all the same price. He used a traveler's
check for $25, and then paid the difference of $86. What was the
price of each shirt?
Answer:
Each shirt costs $18.50
Step-by-step explanation:
Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.
First, read the information carefully and then summarize what you are given in short sentences. Pat bought 6 shirts. He paid using a check and cash.
The total amount paid was $ 25 + $ 86 = $ 111
The shirts all cost the same price.
The cost of each shirt was: 111 ÷ 6 = $ 18.50
Answer:
Each shirt was 18.50
Step-by-step explanation:
The total cost of the 6 shirts was 25+86 = 111
Divide the total by 6 to find the cost of each shirt
111/6 =18.5
Each shirt was 18.50
2) Find the remainder when x3 + x2 - 20 is divided by
(x + 2) by using remainder theorem.
{ANS: R = -24}
Answer:
Remainder = –24
Step-by-step explanation:
x³ + x² – 20 divide by x + 2
We can obtain the remainder when
x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:
We'll begin by calculating the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the remainder by substituting –2 for x in
x³ + x² – 20. This is illustrated below:
x³ + x² – 20
x = –2
Remainder = (–2)³ + (–2)² – 20
Remainder = –8 + 4 – 20
Remainder = –24
Therefore, the ramainder when
x³ + x² – 20 is divided by x + 2 is –24
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Given:
The image of a lens crosses the x-axis at –2 and 3.
The point (–1, 2) is also on the parabola.
To find:
The equation that can be used to model the image of the lens.
Solution:
If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.
It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.
So, the equation of the parabola is:
[tex]y=k(x+2)(x-3)[/tex] ...(i)
Where, k is a constant.
It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).
Putting [tex]x=-1, y=2[/tex] in (i), we get
[tex]2=k(-1+2)(-1-3)[/tex]
[tex]2=k(1)(-4)[/tex]
[tex]2=-4k[/tex]
Divide both sides by -4.
[tex]\dfrac{2}{-4}=k[/tex]
[tex]-\dfrac{1}{2}=k[/tex]
Putting [tex]k=-\dfrac{1}{2}[/tex] in (i), we get
[tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex]
Therefore, the required equation of the parabola is [tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex].
Note: All options are incorrect.
Kwame and Ama shared an amount of money in the ratio 5:4 respectively. If Kwame had GHC 9.00, how much did they share?
Answer:
They shared GHC16.2
Step-by-step explanation:
Here, we want to get the amount shared
Let us call the amount x
Total ratio is 5 + 4 = 9
Kwame had GHC 9
Thus;
5/9 * x = 9
5 * x = 9 * 9
5x = 81
x = 81/5
x = GHC 16.2
The graph represents the piecewise function:
100 POINTS !!!
PLZ HURYY
THANK YOUU
y = -19
I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other
I don’t understand help
You can see that the MNO triangle is similar to MKL then [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex] [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]
What Did You Understand In The Picture
The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.
Answer:
C. Salaried pay. Salaried employees make more per week than hourly employees.
Step-by-step explanation:
edge 2021
Joanne is playing a game with her friends. She is
not doing very well. Currently Joanne is in debt 420
points. On her next turn she loses another 30
points. What is Joanne's score now?
Answer:
390 points
Step-by-step explanation:
Previous points = 420 pointsPoints she lost = 30 points⇒ New score = (420 - 30) points
⇒ New score = 390 points
Joanne's score is now 390 points.
Instructions: Find the equation of the line through point (3, 4) and perpendicular to y = –2x – 4
Answer:
y=1/2x+5/2
Step-by-step explanation:
y=ax+b
vuông góc với y = –2x - 4 ⇒a.(-2) =-1⇒a=1/2
phương trình của đường thẳng đi qua điểm (3, 4) ⇒4=3.1/2+b⇒b=5/2
⇒y=1/2x+5/2
Ranking brainliest if correct :)) thanksss
Answer:
Y=40 X=75
Step-by-step explanation:
i think im not 100% on that, been a long time since i did stuff with triangles
Answer:
gdjksbdifkfnfuwiaksujdbf
The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96
Answer:
(c) 84
hope this helps!!!!
Can someone please help me get surface area and lateral surface area
Answer:
Step-by-step explanation:
suface area of base=1/2×9×7.8=9×3.9=35.1 yd²
lateral surface area=3×1/2×9×10=135 yd²
total surface area=135+35.1=170.1 yd²
i assumed it is an equilateral triangular base.
as √(7.8²+4.5²)=9.0049≈9
simplify the complex fraction.
Answer: 2/5
Step-by-step explanation:
14/6 - 15/6 divided -5/12
-1/6 / -5/12
2/5
hope this helps!
PLS HELP! I WILL GIVE BRAINLIEST!! AND THE REST OF MY POINTS!
Last week the number of bacteria in a petri dish was 2.25×102. This week the number of bacteria in the petri dish is 2.75×105. How many times more bacteria are in the petri dish this week?
Round the decimal to the nearest tenth.
(2.75 x 10⁵ ) / (2.25 x 10² )
= (2.75 / 2.25) x 10⁵⁻²
= 1.2 x 10³ times .
(That's 1,200 times as many.)
I hope this helps!
Answer:
1221.2 times more
Step-by-step explanation:
number of bacteria last week = [tex]2.25*10^2[/tex]
= [tex]2.25*100[/tex]
= [tex]225[/tex]
number of bacteria this week = [tex]2.75*10^5[/tex]
= [tex]2.75*100000[/tex]
= [tex]275000[/tex]
[tex]275000 - 225 = 274775[/tex]
[tex]274775 / 225 = 1221.2[/tex]
what is the measure of angle 3? Sorryyyy the question got cut off
Answer:
142
Step-by-step explanation:
angle <3 is supplementary to 5x + 3
5x + 3 + 21x - 5 = 180 (because two angles are supplementary as well)
26x - 2 = 180 add 2 to both sides
26x = 182 divide both sides by 26
x = 7
<3 + 5x + 3 = 180 replace x with 7 and rewrite equation
<3 + 38 = 180 subtract 38 from both sides
<3 = 142
Does anyone know the answer to this?
Answer:
3
Step-by-step explanation:
Answer:
The answer is number 2
Step-by-step explanation:
Since the price of a quarter is 25 cents we put the .25 it next to the Q and since dimes are worth 10 cents we put the .10 next to the D. D + Q should equal 30 since that is the total number of coins and the other should equal 4.80
What is the amount of the average rate of change?
I Need help with thistle...
Answer:
Anthony
Step-by-step explanation:
Mehod I - Common denominator
Use common denominator of 5 * 8 = 40
Cody
3/5 = 24/40
Anthony
5/8 = 25/40
-----------------------------
Method II - convert to decimal
Cody
3/5 = 0.6
Anthony
5/8 = 0.625
------------------------
Either way
Anthony read a greater fraction
Maria needs to be at the airport terminal at 15:20. It will take
2 1/3
hours to drive to the airport from her home, and a further 30 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answer:
12:30
Step-by-step explanation:
Answer my this question too plsss
The answer is in the link below I couldn't write it on Brainly bc my computer was being wack, but I hope I can help, I didn't only give the answer but there is a step by step so that should help you out a bit. Good Luck!!!!!!
Please answer it all this is very important
Answer:
6.)
The answer is 63 inches because this value is closer to the mean and while the data is positively skewed (as in the mean is greater than the median) it's not by that much.
7.)
This would mean that the data is symmetric. By this, I mean that there would have to be an equal amount of data on either side of the mean. For example, for every entry 2 units below from the mean there must be one 2 units above the mean and so on. There would also have to be many entries on the mean/median (so that it would also be the mode)
8.)
We can observe that there are no real outliers that would heavily influence the data and so we can just take the mean
the mean of student A is: (68+72+73+67)/4= 70
The mean of student B is: (74+73+73+74)/4=73.5
We can see that student A, on average, is closer to 70 than student B and can therefore conclude that student A is more percise
Please help me, Please
Answer:
7th graders in the school
Step-by-step explanation:
if she wants to know what 7th graders like, ask 7th graders since no one els would know as good as 7th graders themselves
Answer:
A.7th graders in the school
Step-by-step explanation:
Because she specifically wants to find the favorite activity of 7th grade students she should sample only 7th grade students to get the best and most accurate results.
Just need some help please
Answer:
It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.
Which table represents exponential growth?
Step-by-step explanation:
the second is ur answer
x|y
1|2
2|4
3|8
4|16
In one city, 24% of adult smoke. In groups of size 130 of adults , what is the variance of the number that smoke ?
Answer:
[tex]X=24[/tex]
Step-by-step explanation:
From the question we are told that:
Probability of having a smoker [tex]P(s)=0.24[/tex]
Sample size [tex]n=130[/tex]
Generally the equation for Variance X is mathematically given by
[tex]X= np(1-p) =[/tex]
[tex]X= (130)(0.24)(1-0.24)[/tex]
[tex]X = 23.712[/tex]
[tex]X=24[/tex]
What is all numbers that equal to 4 in Multiplication
Answer:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …
What is the cube root of 216x^9y^18 ?
A: 4x^3y^6
B: 6x^3y^6
C: 72x^6y^15
D: 213x^6y^15
[tex]4 {x}^{3} {y}^{6} [/tex]
OPTION A
Answer:
option B
Step-by-step explanation:
Cube root of x means [tex]x^{\frac{1}{3}[/tex]
Formulas used :
[tex](a^x)^y = a^{xy}[/tex]
[tex](b^3)^{\frac{1}{3}} = b[/tex]
Therefore cube root of :
[tex](216 x^9 y^{18})^{\frac{1}{3}} = (6^3 \times (x^3)^3 \times (y^6)^3)^{\frac{1}{3}}[/tex]
[tex]= (6^3)^{\frac{1}{3}} \times ((x^3)^3)^{\frac{1}{3}} \times ((y^6)^3)^{\frac{1}{3}}[/tex]
[tex]= 6 \times x^3 \times y^6[/tex]
[tex]=6x^3y^6[/tex]
what is the slope of this line? y=-3x+1
Answer:
The slope is -3, also written as -3/1.
Answer:
-3
Step-by-step explanation:
it is simply the (m) in y = mx + b
m is the slope
and b is the y intercept
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K